Question Number : 1 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
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The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 µm diameter of a wire is:
Options:
- 50
- 100
- 200
- 500
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Question Number : 2 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60° with ground level. But he finds the aeroplane right vertically above his position. If v is the speed of sound, speed of the plane is:
Options:
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- v
- v/2
- (v3/2)v
- (2v/v3)
Question Number : 3 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
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Correct Marks : 4 Wrong Marks : 1
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite directions is :
Options:
- 25/11
- 11/5
- 5/2
- 3/2
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Question Number : 4 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
A simple pendulum, made of a string of length l and a bob of mass m, is released from a small angle ?0. It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It bounces back and goes up to an angle ?1. Then M is given by:
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Options:
- m (?0 - ?1) / 2 (?0 + ?1)
- m (?0 + ?1) / 2 (?0 - ?1)
- m (?0 + ?1) / (?0 - ?1)
- m (?0 - ?1) / (?0 + ?1)
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Question Number : 5 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass, falling towards the earth, collides with the satellite completely inelastically. The speeds of the satellite and the meteorite are the same, just before the collision. The subsequent motion of the combined body will be:
Options:
- in a circular orbit of a different radius
- in an elliptical orbit
- such that it escapes to infinity
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Question Number : 6 Question Type : MCQ Option Shuffling: Yes Display Question Number : Yes Single Line Question Option : No Option Orientation : Vertical
Correct Marks : 4 Wrong Marks : 1
The position vector of the centre of mass rcm of an asymmetric uniform bar of negligible area of cross-section as shown in figure is :
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